Search a number
-
+
12311720928 = 25331319311861
BaseRepresentation
bin10110111011101010…
…11111001111100000
31011210000200020002000
423131311133033200
5200203300032203
65353402524000
7614044621053
oct133565371740
934700606060
1012311720928
115248711181
122477206600
131212907590
1484b1a2a9a
154c0ce74a3
hex2ddd5f3e0

12311720928 has 384 divisors, whose sum is σ = 42042470400. Its totient is φ = 3471206400.

The previous prime is 12311720891. The next prime is 12311721007. The reversal of 12311720928 is 82902711321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12311720892 and 12311720901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6614718 + ... + 6616578.

It is an arithmetic number, because the mean of its divisors is an integer number (109485600).

Almost surely, 212311720928 is an apocalyptic number.

12311720928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12311720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21021235200).

12311720928 is an abundant number, since it is smaller than the sum of its proper divisors (29730749472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12311720928 is a wasteful number, since it uses less digits than its factorization.

12311720928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 12311720928 in words is "twelve billion, three hundred eleven million, seven hundred twenty thousand, nine hundred twenty-eight".